Search a number
-
+
207030648 = 233113141617
BaseRepresentation
bin11000101011100…
…00100101111000
3112102120020122210
430111300211320
5410444440043
632313215120
75062505616
oct1425604570
9472506583
10207030648
11a6955210
12594014a0
1333b79456
141d6d26b6
1513297633
hexc570978

207030648 has 128 divisors (see below), whose sum is σ = 598026240. Its totient is φ = 59136000.

The previous prime is 207030647. The next prime is 207030661. The reversal of 207030648 is 846030702.

It is a super-2 number, since 2×2070306482 = 85723378422599808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207030647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335236 + ... + 335852.

It is an arithmetic number, because the mean of its divisors is an integer number (4672080).

Almost surely, 2207030648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207030648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299013120).

207030648 is an abundant number, since it is smaller than the sum of its proper divisors (390995592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

207030648 is a wasteful number, since it uses less digits than its factorization.

207030648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 207030648 is about 14388.5596221443. The cubic root of 207030648 is about 591.5773630033.

The spelling of 207030648 in words is "two hundred seven million, thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 41 44 62 66 82 88 93 123 124 132 164 186 246 248 264 328 341 372 451 492 617 682 744 902 984 1023 1234 1271 1353 1364 1804 1851 2046 2468 2542 2706 2728 3608 3702 3813 4092 4936 5084 5412 6787 7404 7626 8184 10168 10824 13574 13981 14808 15252 19127 20361 25297 27148 27962 30504 38254 40722 41943 50594 54296 55924 57381 75891 76508 81444 83886 101188 111848 114762 151782 153016 162888 167772 202376 210397 229524 278267 303564 335544 420794 459048 556534 607128 631191 784207 834801 841588 1113068 1262382 1568414 1669602 1683176 2226136 2352621 2524764 3136828 3339204 4705242 5049528 6273656 6678408 8626277 9410484 17252554 18820968 25878831 34505108 51757662 69010216 103515324 207030648